An ancestor of mine (Jonathan DENWOOD) married at Gretna, not once but twice

The first time was in 1853 - I have a copy of the register for that marriage. I was disappointed to find no parents' names.

His first wife died in 1864 and JD married again, probably by 1868 ... so my question is - would a Gretna marriage in the mid 1860s be expected to give any details of parents?
I was wondering if anyone would have any idea as I would rather not shell out another fifteen quid just on the off chance.